3
Theorem 113: The lateral area of a cylinder is equal to the product of the height and the circumference of the base. LA cyl = Ch = 2πrh (C = circumference, h= height) h r The total area of a cylinder is the sum of the cylinder’s lateral area and the areas of the two bases. T.A. = 2πr 2 + 2πrh

5
Cone: base is a circle Slant height and lateral height are the same. l Cone will mean a right cone where the altitude passes through the center of the circular base. Net: Theorem 114: The lateral area of a cone is equal to 1 / 2 the product of the slant height and the circumference of the base. LA = ½C l = πr l C = Circumference & l = slant height

6
Find the surface area of the cone. The diameter is 6 & the slant height is 8. TA = πr 2 + πr l = π(3) 2 + π3(8) = 9π + 24π = 33π units 2 The total surface area of a cone is the sum of the lateral area and the area of the base. TA = πr 2 + πr l